Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Multiple constructor, Constructor public class ListNode {    //...

Constructor public class ListNode {    // package access members; List can access these directly private E data; // data for this node privateListNode nextNode; /

How do you know that your class requires virtual destructor, How do you kn...

How do you know that your class requires a virtual destructor? A: If at least your class has one virtual function, you must make a destructor for this class virtual. It will let

If else, A small shop sells 280 different items. Every item is identified b...

A small shop sells 280 different items. Every item is identified by a 3 - digit code. All items which start with a zero (0) are cards, all items which start with a one (1) are swee

Create a minimum of fifteen functions, Purpose For this assignment you ...

Purpose For this assignment you will need to create either a function list or a record series for a CRCRS. Instructions Note: Complete only one of the two assignment op

Programing, Define a structure to store roll no, name and marks of a studen...

Define a structure to store roll no, name and marks of a student. b) Using the structure of Q2. a), above write a ''C'' program to create a file "student.dat". There must be one r

C program for radius of circle, C Program for RADIUS OF CIRCLE   #de...

C Program for RADIUS OF CIRCLE   #define PI 3.14159 main() {           float r,a;           clrscr();           printf("ENTER THE RADIUS OF A CIRCLE: ");

Build a standalone module to extract and parse, A skilled programmer is req...

A skilled programmer is required to build a standalone module to extract, parse and store in database tables, word count data from web pages and RSS feeds. The module will take

Assignment, Write a program that computes the cost of a long distance call....

Write a program that computes the cost of a long distance call. The cost of the call is determined according to the following rate schedules. a. A call made between 8:00 AM and

Find the largest and smallest average, Use the above problem and have ...

Use the above problem and have the program print the biggest and smallest sales for each employee for everyday of the month. Program should also find the largest and

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd